Some Asymptotic Problems in the Theory of Partial Differential Equations

In 1993, Professor Oleinik was invited to give a series of lectures about her work in the area of partial differential equations. This book contains those lectures, and more. It is in two parts, the first being devoted to the study of the asymptotic behaviour at infinity of solutions of a class of non-linear second order elliptic equations in unbounded, in particular cylindrical, domains. The second part contains the most recent results of the author's research in the theory of homogenisation of partial differential equations, and is concerned with questions about partially perforated domains and of solutions with rapidly alternating types of boundary conditions. These new asymptotic problems arise naturally in applications. Many of the results here have not appeared in book form before, and this volume sheds new light on the subject, raising many new ideas and open problems.Oleinik, Olga is the author of 'Some Asymptotic Problems in the Theory of Partial Differential Equations' with ISBN 9780521480833 and ISBN 0521480833.